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61480936 = 2311312727
BaseRepresentation
bin1110101010000…
…1111111101000
311021200112222201
43222201333220
5111214342221
610033425544
71344402466
oct352417750
9137615881
1061480936
11317825a0
121870b2b4
13c97806a
148245836
1555e6891
hex3aa1fe8

61480936 has 48 divisors (see below), whose sum is σ = 130122720. Its totient is φ = 27007200.

The previous prime is 61480931. The next prime is 61480943. The reversal of 61480936 is 63908416.

It is a junction number, because it is equal to n+sod(n) for n = 61480895 and 61480904.

It is not an unprimeable number, because it can be changed into a prime (61480931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84205 + ... + 84931.

It is an arithmetic number, because the mean of its divisors is an integer number (2710890).

Almost surely, 261480936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61480936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65061360).

61480936 is an abundant number, since it is smaller than the sum of its proper divisors (68641784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61480936 is a wasteful number, since it uses less digits than its factorization.

61480936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 61480936 is about 7840.9780002242. The cubic root of 61480936 is about 394.6815485978.

The spelling of 61480936 in words is "sixty-one million, four hundred eighty thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 727 961 1364 1454 1922 2728 2908 3844 5816 7688 7997 10571 15994 21142 22537 31988 42284 45074 63976 84568 90148 180296 247907 495814 698647 991628 1397294 1983256 2794588 5589176 7685117 15370234 30740468 61480936